provide solution for RD Sharma maths class 12 chapter determinant exercise 5.5 question 1
Hint: The homogeneous system of linear equations has non-trivial solutions when the determinant is zero.
The above linear equations can be represented in matrix form i.e.
So, the given system has non-trivial solutions.
Consider first two equations and put z=k.
Solving these equations by Crammer’s rule:
Thus, satisfy the third equation.